What is 5 and 3/8 as a decimal? Is it repeating or terminating?

Answer:

C

Step-by-step explanation:

\(y=(2x-3)/5\)

\(5y=2x-3\)

\((5y+3)/2=x\)

\((5x+3)/2=y\)

\(f^{-1}(x)=(5x+3)/2\)

Answer:

672 had dark hair, 592 had blond hair, and 48 had red hair

Step-by-step explanation:

To solve this problem, we need to first find the total number of people for each hair color based on the given ratio.

Let's start by finding the common factor that we can use to scale the ratio up to the total number of people, which is 1,312:

42 + 37 + 3 = 82

We can then divide 1,312 by 82 to get the scaling factor:

1,312 ÷ 82 = 16

This means that for every 16 people, there are 42 with dark hair, 37 with blond hair, and 3 with red hair.

To find the actual number of people with each hair color in the town meeting, we can multiply the scaling factor by the number of people for each hair color in the ratio:

Dark-haired people: 42 × 16 = 672

Blond-haired people: 37 × 16 = 592

Red-haired people: 3 × 16 = 48

Therefore, there are 672 people with dark hair, 592 people with blond hair, and 48 people with red hair at the town meeting.

The z score of a dog of this breed weighs 52 pounds is 0.571. The weight of the dog if z is -0.35 is 45.55 kg. The weight of the dog if z is 0.35 is 50.45 kg.

A z score refers to a numerical measurement that defines a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.

The z score is given by:

z = (x - µ)/σ

where x is the raw score, µ is the mean, and σ is the standard deviation.

In the given case,

x = 52 pounds

µ = 48 pounds

σ = 7 pounds

Hence,

z = (52 - 48)/7 = 0.571

If z = -0.35

Then

-0.35 = (x - 48)/7

x - 48 = -2.45

x = 45.55 kg

Hence, the weight of the dog if z is -0.35 is 45.55 kg.

If z = 0.35

Then

0.35 = (x - 48)/7

x - 48 = 2.45

x = 50.45 kg

Hence, the weight of the dog if z is 0.35 is 50.45 kg.

Note: The question is incomplete. The complete question probably is: The weights of a certain dog breed are approximately normally distributed with a mean of 48 pounds, and a standard deviation of 7 pounds. A dog of this breed weighs 52 pounds. What is the dog's z-score? Round your answer to the nearest hundredth as needed. A dog has a z-score of -0.35. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds A dog has a z-score of 0.35. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds

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The answer to your question is:

The correct answer is b) "Please talk a little louder."

Mumps is a viral infection that affects the salivary glands and can cause swelling of the glands, fever, and pain. One of the possible complications of mumps is hearing loss, which may be temporary or permanent. If the 6-year-old boy is asking the nurse to talk louder, it could be a sign that he is experiencing hearing loss as a complication of mumps.

Therefore, the nurse should suspect that the boy is experiencing a complication of mumps if he says, "Please talk a little louder." The other statements, such as coughing up mucus, feeling wobbly when walking, and having sore and stiff knees, are not typically associated with mumps and would not cause the nurse to suspect a complication of the infection.

In conclusion, the statement that would cause the nurse to suspect the 6-year-old boy is experiencing a complication of mumps is "Please talk a little louder."

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Answer:

4

Step-by-step explanation:

Answer:

The experimental probability of the coin landing heads up is 110/200 = 11/20.

The probability is 1/2.

The correct statement in Mai's experiment is, The experimental probability of the coin landing heads up is (11/20) and the theoretical probability of the coin landing heads up is (1/2)

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Experimental probability is repeating an experiment and observing the outcomes and theoretical probability is the expected value.

In the given context the expected value is 200×(1/2) = 100, As P(H) = 1/2 and P(T) = 1/2.

Upon experiment, the coin landed 110 times heads up.

Therefore, The theoretical likelihood of the coin landing heads up is (1/2), while the experimental probability is (11/20).

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Answer:

18:16, 27:24, 36:32, or 45:40

Step-by-step explanation:

hope this helps u

Hope you understand the solution in the picture.

The answer is 21 cartons of juice needed to make the drink for 25 people.

Answer:

Corresponding Angles and Alternate Exterior

Step-by-step explanation:

The angles are corresponding if same side in a parallel.

This is because as the lines are parallel to one another that means that the next following angle measure is the same in approach.

For the other problems if they are opposite sides from one another.

They are called alternate exteriors.

The linear inequality will be c ≥ 9.25.

What precisely are linear inequalities?

Inequality is defined as a mathematical statement stating that neither side is equal. An inequality emerges when a connection creates a non-equal comparison between two expressions. In the statement, the inequality symbols greater than symbol (>), less than symbol (<), more than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠) replace the equal sign "=".

The symbols '< and >' represent severe disparities, whereas " ≤ and ≥ " represent slack inequalities.

Now

The inequality that models the story is:

c ≥ 9.25

This is because Johnny plans to order at least 9.25 pounds of cheese.

There is no inequality in the story that relates to the amount of turkey meat that Johnny plans to order, but we know that he plans to order 8.5 pounds of turkey meat.

hence,

          The linear inequality will be c ≥ 9.25.

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James has to pay an annual interest of 14.99% on $2500 loan.

In decimal:

14.99% = 14.99/100 = 0.1499

The interest of 1st year would be:

0.1499 * 2500 = 374.75 dollars

Monthly interest would be:

374.75/12 = $31.23

If he pays this amount each month for first 4 months, he would pay a total of:

$31.23 * 4 =

A good residual plot should have the points randomly scattered around the horizontal line with no discernible pattern.

This indicates that the model is well fit to the data. The residuals should also be equally distributed on either side of the horizontal line. This can be seen as the sum of the residuals being equal to 0, or mathematically expressed as the sum of the residuals (e) being equal to 0, where \(e = y - ŷ\), where y is the observed value and ŷ is the predicted value. The equation can be expressed as Σe=0.

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Answer:

The number of terms in the sequence is 9

Step-by-step explanation:

We want to get the number of terms

Mathematically, we have the formula for the sum of terms in an arithmetic sequence as

\(sn = \frac{n}{2} (a + 1)\)

a represents the first terms, and i represent the last term

\(423 = \frac{n}{2} (15 + 79) \\ \\ 423 \times 2 = 94(n) \\ \\ 94n = 846 \\ \\ n = \frac{846}{94} \\ \\ n = 9\)

The requirement f(x1) * f(x2) < 0 for choosing initial guesses x1 and x2 with opposite signs ensures the validity and convergence of certain numerical root-finding methods such as the bisection method or the regula falsi method.

The statement you provided is true for certain numerical methods used to find roots of equations, such as the bisection method or the regula falsi method. These methods are iterative and require an initial interval or range where the root is expected to be found. To ensure convergence and a valid solution, it is necessary to choose initial guesses x1 and x2 such that the function f(x) evaluated at those points have opposite signs, i.e., f(x1) * f(x2) < 0.

The rationale behind this requirement is based on the Intermediate Value Theorem, which states that if a continuous function f(x) changes sign over an interval [x1, x2], then there exists at least one root within that interval. By ensuring that f(x1) and f(x2) have opposite signs, we guarantee the existence of a root within the interval [x1, x2].

The bisection method works by repeatedly bisecting the interval and selecting a new subinterval that contains the root. At each iteration, the method narrows down the interval by halving it, based on the sign change observed in the function evaluations.

Similarly, the regula falsi (or false position) method also operates by iteratively refining the interval based on the linear interpolation between the function values at the endpoints. The method adjusts the interval based on the sign change of the function, converging to the root.

Both methods rely on the property of opposite signs to guarantee convergence and avoid getting stuck in a non-converging or incorrect solution. If the initial guesses do not satisfy the condition f(x1) * f(x2) < 0, it is possible that the method fails to converge or converges to a different root or solution.

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Answer:

$80

Step-by-step explanation:

His buying cost for 1 pair of shoes: $49

His selling price for 1 pair of shoes: $65

His profit on selling 1 pair of shoes: $65 - $49 = $16

His profit on selling 5 pairs of shoes: 5 × $16 = $80

Answer:

54 mi/hr

Step-by-step explanation:

\(\frac{226.8}{4.2}=54\) mi/hr

When two tables have a one-to-many relationship, you typically need to add a foreign key to the table on the "many" side to link the records to the corresponding record in the "one" table.

In a one-to-many relationship, the table on the "one" side is usually the primary key table, and the table on the "many" side is usually the foreign key table. The foreign key is used to link the records in the "many" table to the corresponding record in the "one" table. This is done by adding a column to the "many" table that contains the primary key value from the "one" table.

When designing a database, it is important to establish relationships between tables to ensure data integrity and avoid redundant data. In a one-to-many relationship, one record in the primary key table can be associated with many records in the foreign key table. To establish a one-to-many relationship, you need to create a primary key in the "one" table and a foreign key in the "many" table. The foreign key is a column that contains the primary key value from the "one" table. For example, if you have a "customers" table and an "orders" table, the "customers" table would be the primary key table and the "orders" table would be the foreign key table. Each record in the "orders" table would have a foreign key column that contains the customer ID from the "customers" table.

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The deepest to highest creatures are in order flounder, bluefish, clam, hermit crab according to sea level.

What is sea level?

The average surface level of one or more of the coastal bodies of water on Earth is known as mean sea level, and it can be used to measure heights like elevation.

Main Body:

a) As the value for flounder is most negative , so we can say that it is found at the greatest depth .

after which bluefish is found .

the  value of clam is less positive than hermit crab so it is found after bluefish and at last hermit crab

Hence the order is like :  Flounder > bluefish > clam > hermit crab .

b)The difference between the depth at which bluefish and hermit crab are found is 5ft.

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Step-by-step explanation:

here you go have my x and y

The probability of x being equal o 19.62 is d) 0.

It is given that x is normally distributed with a mean of 12 and a standard deviation of 3.

Now, Normal distribution is a continuous distribution.

This implies that the probability is measured over an interval, taking an infinite number of points in between.

If we plot a continuous distribution, the probability here at a point is not the value of the y coordinate at that point. Instead, it is seen as an area under the curve of the distribution, between the two intervals, say a and b.

Therefore, if we take up a single point say c, then the probability will be the area under the curve from c to c, which will obviously be 0.

Hence, the probability that x = 19.62 will be 0.

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Answer:

\(a_{n}\) = 2n - 3

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + d(n - 1)

where a₁ is the first term and d the common difference

given a₁ = - 1 and a₅ = 7 , then

a₁ + 4d = 7 , that is

- 1 + 4d = 7 ( add 1 to both sides )

4d = 8 ( divide both sides by 4 )

d = 2

then

\(a_{n}\) = - 1 + 2(n - 1) = - 1 + 2n - 2 = 2n - 3

\(a_{n}\) = 2n - 3

If a number cube is rolled twice, then the probability of getting a six on the first role and then a number less than 5 on the second role is 1/9.

To find the probability of getting a six on the first roll and a number less than 5 on the second roll, we will multiply the individual probabilities of each event.

A number cube has 6 faces, so the probability of rolling a six is 1/6.

For the second roll, there are 4 numbers less than 5 (1, 2, 3, and 4), so the probability of rolling a number less than 5 is 4/6 or 2/3.

To find the combined probability, simply multiply the two probabilities: (1/6) × (2/3) = 2/18 = 1/9.

So, the probability of getting a six on the first roll and a number less than 5 on the second roll is 1/9.

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Answer:

Sum equation: \(d + 0.05d\)

Product equation: \(1.05d\)

Step-by-step explanation:

If we have an increase in 5% of d, that means that 5% of d (\(0.05\cdot d\)) will be the total amount of money added to it.

However, we need to still count the original price of d, if we increase it by 5%!

So we add d to 0.05d.

\(d + 0.05d\) is the sum equation.

Now, we can create the product equation for d by expanding the coefficients for the previous equation,  \(d + 0.05d\).

\(1d + 0.05d\)

We can add like terms here: \(1 + 0.05 = 1.05\)! So we can just multiply this by d for our product equation.

\(1.05d\)

Hope this helped!

The coordinates of E, the midpoint of segment AB is (a/2, b/2, 0)

From the question, we have the following parameters that can be used in our computation:

B(0, b, 0)

C(0, 0, c)

A(a,0,0)

The coordinates of E, the midpoint of segment AB. is calculated as

E = 1/2(A + B)

using the above as a guide, we have the following:

E = 1/2 * (a + 0, 0 + b, 0 + 0)

When evaluated, we have

E = (a/2, b/2, 0)

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An inscribed angle is formed by two chords of a circle that intersect at a vertex located on the circle.

The angle itself is formed by the two sides of the angle, which are the line segments connecting the vertex to the endpoints of the chords. The property that makes inscribed angles interesting is that the measure of an inscribed angle is half the measure of the intercepted arc on the circle.

This relationship holds true for any inscribed angle in a circle, making it a useful concept in geometry for solving problems involving angles, arcs, and circles.

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Answer:

Most males preferred black laptops

Step-by-step explanation:

Answer:

3 times 4 times 2 times 5 = 120

Step-by-step explanation:

The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.

The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.

To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.

Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.

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